A sample of Oriental ginseng contains 0.4 mg of active constituents in each 100mg of 
powdered plant. How many of active constituents would be present in 15 mg of 
powdered plant?

The concentration of active constituents in the powdered plant is given as 0.4 mg per 100 mg of powdered plant. To find the amount of active constituents in 15 mg of powdered plant, we can use the following proportion:

\[
\frac{0.4 \text{ mg}}{100 \text{ mg}} = \frac{x \text{ mg}}{15 \text{ mg}}
\]

Cross-multiplying to solve for \( x \):

\[
x = \frac{0.4 \times 15}{100}
\]

\[
x = \frac{6}{100} = 0.06 \text{ mg}
\]

Thus, 0.06 mg of active constituents would be present in 15 mg of powdered plant.

Would you like any more details or further clarification?

Here are 5 related questions you might find interesting:
1. What is the formula for calculating proportions in different contexts?
2. How does the concentration of a substance change if the quantity of the sample changes?
3. How can this method be applied to find concentrations in liquids?
4. How do you convert between different units of mass (e.g., mg to g)?
5. What are other examples of proportional relationships in chemistry?

**Tip**: When working with proportions, always ensure that the units on both sides of the equation match for accurate results.

A sample of Oriental ginseng contains 0.4 mg of active constituents in each 100mg of powdered plant. How many of active constituents would be present in 15 mg of powdered plant?

Learn how to calculate the amount of active constituents in a 15 mg sample of Oriental ginseng using proportions. This problem covers key concepts such as ratios and cross-multiplication, suitable for students in Grades 6-8.

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